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OpenStudy (anonymous):
The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X. What is the measure of angle ACB?
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OpenStudy (anonymous):
OpenStudy (anonymous):
k
OpenStudy (anonymous):
anything?
ganeshie8 (ganeshie8):
studying.. wait
OpenStudy (anonymous):
ty
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OpenStudy (phi):
0.5(m arc AB - m arc AX)
OpenStudy (anonymous):
ehhh
ganeshie8 (ganeshie8):
yup.. thanks @phi :)
OpenStudy (anonymous):
ehhhh
OpenStudy (anonymous):
minor arc AB is 56 degrees, right?
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OpenStudy (phi):
it is labeled 176
OpenStudy (anonymous):
arc AB is labled 176
OpenStudy (anonymous):
so arc AX has to be 184 degrees
OpenStudy (anonymous):
Since it is a major arc, right?
OpenStudy (phi):
angle ABX is 1/2 the central angle (and arc)
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OpenStudy (anonymous):
so ABX is 92 degrees?
OpenStudy (anonymous):
wait, ABX is already 56 degrees
OpenStudy (anonymous):
so would the bigger arc be 112 degrees?
OpenStudy (anonymous):
176-112/2?
OpenStudy (anonymous):
32
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OpenStudy (phi):
(176-112)/2
OpenStudy (anonymous):
k
OpenStudy (anonymous):
and thats for?
OpenStudy (anonymous):
AngleACB?
OpenStudy (anonymous):
It can't really be more because angle BAC definitely looks obtuse
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OpenStudy (phi):
|dw:1340480004547:dw|
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